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zloy xaker [14]
3 years ago
6

The length of a rectangle is twice as long as the width. The area is 200ft to the power of 2. Find the length and the width of t

he rectangle.
Mathematics
1 answer:
zimovet [89]3 years ago
6 0

Answer:

Length = 20feet

Width = 10feet

Step-by-step explanation:

Area of a rectangle = LW

Perimeter P= 2(L+W)

L is the length

W is the width

If the length of a rectangle is twice as long as the width, then;

L = 2W

Substitute into the foemula

A  = (2W)W

A=  2W²  

If the area is 200ft², then;

200 = 2W²

100 = W²

W = √100

W = 10ft

Since L = 2W

L = 2(10)

L = 20ft

Hence the length of the rectangle is 20feet and the Width is 10feet

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Use the Cross Products Property to solve the proportion<br> 5/n =16/32
vaieri [72.5K]

Answer:

x = 10

Step-by-step explanation:

If we have our proportion set up like this:

\frac{5}{n} = \frac{16}{32}

Then using the cross products property, we can find the value of n.

The property states that the two numbers that are diagonal to each other DIVIDED by the number diagonal to the variable will equal the variable.

So:

32\cdot5 = 160\\160\div16 = 10

Hope this helped!

7 0
4 years ago
pqrs is a rectangle with sides ps=5cm and pq =12cm find the length of qr ,sr and the two diagonals pr and qs. ​
never [62]
<h3>Given:</h3>

PQRS is a rectangle.

PS = 5cm

PQ = 12cm

<h3>To Find:</h3>

The length of qr ,sr and the two diagonals pr and qs.

<h3>Solution:</h3>

Opposite sides of a rectangle are equal.

QR = PS = 5cm

SR = PQ = 12cm

By using Pythagoras Theorem, we get

PR = √PS^2 + SR^2

or, PR = √25 + 144

or, PR = √169

or, PR = 13cm

Diagonals of a rectangle are equal.

QS = PR = 13cm

<h2>Answer:</h2>

QR = 5 cm

SR = 12 cm

PR = 13 cm

QS = 13 cm

7 0
4 years ago
1.) 2x + 3 = - 3x - 2<br> Can someone explain this to me plz step by step
uranmaximum [27]

Answer:

x = -1

Step-by-step explanation:

2x + 3 = -3x -2

2x = -3x -5

5x = -5

x= -1

5 0
3 years ago
(y=x-4<br> (y=-2x+5 ................................................................
harkovskaia [24]
I don’t know the answer
4 0
3 years ago
MAX POINTS!
zheka24 [161]

<u>Answer:</u>

\frac{200}{3} square units

<u>Step-by-step explanation:</u>

Knowing the function and that the triangle is formed by both the x and y-axis, you already have the triangle's height, which is 10 (the y-intercept of the functon) To find the base length, all you have to do is find the x-intercept. To do that, simply:

Set function equal to 0 and solve for x:

f(x) = 10 - \frac{3}{4} x

0 = 10 - \frac{3}{4} x

\frac{3}{4} x = 10

x = \frac{40}{3}

This means that the base length of the triangle is also  \frac{40}{3}. Now that you have the height and base length, you can

Plug values into the formula for the area of a triangle:

The area of a triangle is \frac{1}{2} × height × base

Height = 10, base = \frac{40}{3}

Area = \frac{1}{2} × 10 × \frac{40}{3}

Area = 5 × \frac{40}{3}

Area =  \frac{200}{3}

8 0
3 years ago
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